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Finding the Fourth Proportional to 13,654, 18,842.52 and 8,068.40

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Solution

The fourth proportional to 13,654, 18,842.52 and 8,068.40 is: 11,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654 : 18,842.52 = 8,068.40 : x
  2. Step 2: Convert to fraction form
    13,654/18,842.52 = 8,068.40/x
  3. Step 3: Cross multiply
    13,654x = 18,842.52 × 8,068.40
  4. Step 4: Simplify right side
    13,654x = 152,028,988.37
  5. Step 5: Solve for x
    x = 152,028,988.37/13,654
  6. Step 6: Final answer
    x = 11,134.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.